Bionominal appropriation is a discrete likelihood conveyance. This distribution was discovered by a Swiss Mathematician James Bernoulli. It is used in such situation where an experiment results in two possibilities – success and failure. Binomial distribution is a discrete probability distribution which expresses the probability of one set of two alternativessuccesses (p) and failure (q). Binomial distribution is defined and given by the following probability function:
Formula
${P(Xx)} = ^{n}{C_x}{Q^{nx}}.{p^x}$
Where −

${p}$ = Probability of success.

${q}$ = Probability of failure = ${1p}$.

${n}$ = Number of trials.

${P(Xx)}$ = Probability of x successes in n trials.
Example
Problem Statement:
Eight coins are tossed at the same time. Discover the likelihood of getting no less than 6 heads.
Solution:
Let ${p}$=probability of getting a head. ${q}$=probability of getting a tail.
\ {P(Xx)} = ^{n}{C_x}{Q^{nx}}.{p^x} , \\[7pt]
\,{P (at\ least\ 6\ heads)} = {P(6H)} +{P(7H)} +{P(8H)}, \\[7pt]
\, ^{8}{C_6}{{(\frac{1}{2})}^2}{{(\frac{1}{2})}^6} + ^{8}{C_7}{{(\frac{1}{2})}^1}{{(\frac{1}{2})}^7} +^{8}{C_8}{{(\frac{1}{2})}^8}, \\[7pt]
\, = 28 \times \frac{1}{256} + 8 \times \frac{1}{256} + 1 \times \frac{1}{256}, \\[7pt]
\, = \frac{37}{256}$
Table of Contents
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2.statistics analysis of variance
3.statistics arithmetic mean
4.statistics arithmetic median
5.statistics arithmetic mode
6.statistics arithmetic range
7.statistics bar graph
8.statistics best point estimation
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10.statistics binomial distribution
11.statistics blackscholes model
12.statistics boxplots
13.statistics central limit theorem
14.statistics chebyshevs theorem
15.statistics chisquared distribution
16.statistics chi squared table
17.statistics circular permutation
18.statistics cluster sampling
19.statistics cohens kappa coefficient
20.statistics combination
21.statistics combination with replacement
22.statistics comparing plots
23.statistics continuous uniform distribution
24.statistics cumulative frequency
25.statistics coefficient of variation
26.statistics correlation coefficient
27.statistics cumulative plots
28.statistics cumulative poisson distribution
29.statistics data collection
30.statistics data collection questionaire designing
31.statistics data collection observation
32.statistics data collection case study method
33.statistics data patterns
34.statistics deciles statistics
35.statistics dot plot
36.statistics exponential distribution
37.statistics f distribution
38.statistics f test table
39.statistics factorial
40.statistics frequency distribution
41.statistics gamma distribution
42.statistics geometric mean
43.statistics geometric probability distribution
44.statistics goodness of fit
45.statistics grand mean
46.statistics gumbel distribution
47.statistics harmonic mean
48.statistics harmonic number
49.statistics harmonic resonance frequency
50.statistics histograms
51.statistics hypergeometric distribution
52.statistics hypothesis testing
53.statistics interval estimation
54.statistics inverse gamma distribution
55.statistics kolmogorov smirnov test
56.statistics kurtosis
57.statistics laplace distribution
58.statistics linear regression
59.statistics log gamma distribution
60.statistics logistic regression
61.statistics mcnemar test
62.statistics mean deviation
63.statistics means difference
64.statistics multinomial distribution
65.statistics negative binomial distribution
66.statistics normal distribution
67.statistics odd and even permutation
68.statistics one proportion z test
69.statistics outlier function
70.statistics permutation
71.statistics permutation with replacement
72.statistics pie chart
73.statistics poisson distribution
74.statistics pooled variance r
75.statistics power calculator
76.statistics probability
77.statistics probability additive theorem
78.statistics probability multiplicative theorem
79.statistics probability bayes theorem
80.statistics probability density function
81.statistics process capability cp amp process performance pp
82.statistics process sigma
83.statistics quadratic regression equation
84.statistics qualitative data vs quantitative data
85.statistics quartile deviation
86.statistics range rule of thumb
87.statistics rayleigh distribution
88.statistics regression intercept confidence interval
89.statistics relative standard deviation
90.statistics reliability coefficient
91.statistics required sample size
92.statistics residual analysis
93.statistics residual sum of squares
94.statistics root mean square
95.statistics sample planning
96.statistics sampling methods
97.statistics scatterplots
98.statistics shannon wiener diversity index
99.statistics signal to noise ratio
100.statistics simple random sampling
101.statistics skewness
102.statistics standard deviation
103.statistics standard error se
104.statistics standard normal table
105.statistics statistical significance
106.statistics formulas
107.statistics notations
108.statistics stem and leaf plot
109.statistics stratified sampling
110.statistics student t test
111.statistics sum of square
112.statistics tdistribution table
113.statistics ti 83 exponential regression
114.statistics transformations
115.statistics trimmed mean
116.statistics type i amp ii errors
117.statistics variance
118.statistics venn diagram
119.statistics weak law of large numbers
120.statistics z table
121.discuss statistics